1725995040 has 768 divisors, whose sum is σ = 7461974016. Its totient is φ = 324403200.

The previous prime is 1725995021. The next prime is 1725995071. The reversal of 1725995040 is 405995271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1725994983 and 1725995001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25761087 + ... + 25761153.

It is an arithmetic number, because the mean of its divisors is an integer number (9716112).

Almost surely, 2^1725995040 is an apocalyptic number.

1725995040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1725995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730987008).

1725995040 is an abundant number, since it is smaller than the sum of its proper divisors (5735978976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1725995040 is a wasteful number, since it uses less digits than its factorization.

1725995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1725995040 is about 41545.0964615561. The cubic root of 1725995040 is about 1199.5357092738.

The spelling of 1725995040 in words is "one billion, seven hundred twenty-five million, nine hundred ninety-five thousand, forty".